Removal of Cr(VI) from Wastewater Using a Natural Nanoporous Adsorbent: Experimental, Kinetic and Optimization Studies by Utkarsh Maheshwari, Suresh Gupta

“…Weber and Morris and Boyd models show that both intra-particle and film diffusion are the controlling mechanism for adsorption of chromium (VI) ions on the developed adsorbent. The mathematical model is developed to optimize the adsorption capacity (q) in terms of the influencing parameters with the help of differential evolution (DE) technique.…”
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A Polling-Based Dynamic Order-Picking System considering Priority Orders by Wenxue Ran, Sen Liu, Zhe Zhang

“…We divide orders into priority and common categories according to their time urgency. A mathematical model is established for such a system by applying polling theory, a probability generating function, and an embedded Markov chain. …”
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STUDY ON MECHANICAL CHARACTERISTICS OF SCRAPER CONVEYOR UNDER CHAIN-BREAKING CONDITION by XIE Miao, YANG RunKun, LU JinNan, WU LongFei

“…In order to study the transient mechanical characteristics of the scraper conveyor’s stuck and broken chain, based on the elastic wave theory, the general equation of the chain longitudinal wave is established considering the resistance of the load, the boundary and initial value conditions are determined, and the mathematical model is analyzed and solved. Using MATLAB software, numerical simulation analysis was carried out on the dynamics of the scraper conveyor under the direct starting conditions and the stuck and broken chain fault conditions. …”
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Regulation Mechanism of Spatial Capacity of Tourist Resources in Scenic Spots Based on Internet of Things Technology by Xiaona Xie, Wenliang Zhang

“…This paper first calculates the spatial capacity of various tourism resources in a scenic spot by using mathematical model and then studies the intelligent spatial management model of tourist flow in the scenic spot based on the Internet of Things technology. …”
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Design and Dynamics Modeling of a New Two-speed Transmission by Yaogang Li, Shuo Zhang, Jue Yang, Haiyang Long, Chang Liu, Senqi Tan

“…In addition， the basic structure and working principle are introduced， and Lagrange method is applied to analyze the dynamics modeling of each component of the transmission， a two-degree of freedom Lagrange equation is established， the shift process model is built based on MATLAB/Simulink， the shift process is analyzed and the accuracy of the mathematical model is verified. It provides a certain basis for the study on dynamics modeling and shift quality optimization of the same type of transmission.…”
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Modelling and Testing the Dynamic Properties of a Launcher with Unguided Missiles by Zbigniew J. DZIOPA, Maciej NYCKOWSKI

“…Based on the results of empirical research, a physical and mathematical model of the motion was formulated for both the ZSMU-70 module as well as the WW-4 launcher. …”
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Modeling of Nitrate Leaching during the Fall–Winter Season in Artificially Drained Soils by Alaa El-Sadek

“…In this study, the transport and fate of nitrate within the soil profile were analyzed by comparing field data with the simulation results of a mathematical model. The objective was to study the transport and fate of nitrate within the soil profile and nitrate leaching to shallow groundwater for the fall-winter season, by applying the methodology in Elverdinge experiment, situated in the sandy loam region in Belgium, from October 1, 2000 to March 31, 2001. …”
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Competitive Relief Supply Chain under the Uncertain Conditions by Amirabbass Boroumand, Majid Nojavan, Davood Mohammaditabar, Reza Ghaemi

“…Accordingly, in this research, a mathematical model with a leader-follower approach for relief delivery in the crisis response phase was designed, which took into account the policies of the country of Iran for the distribution of relief items. …”
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Hopf-Bifurcation Analysis of Pneumococcal Pneumonia with Time Delays by Fulgensia Kamugisha Mbabazi, Joseph Y. T. Mugisha, Mark Kimathi

“…In this paper, a mathematical model of pneumococcal pneumonia with time delays is proposed. …”
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Heat Transfer Analysis on the Hiemenz Flow of a Non-Newtonian Fluid: A Homotopy Method Solution by Yasir Khan, Zdeněk Šmarda

“…The mathematical model for the incompressible two-dimensional/axisymmetric non-Newtonian fluid flows and heat transfer analysis in the region of stagnation point over a stretching/shrinking sheet and axisymmetric shrinking sheet is presented. …”
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An Improved MPPT Algorithm for PV Generation Applications Based on P-U Curve Reconstitution by Yaoqiang Wang, Meiling Zhang, Xian Cheng

“…In order to solve this problem, this paper takes MPPT as the main research object, and an improved MPPT algorithm for PV generation applications based on P-U curve reconstitution is proposed. Firstly, the mathematical model of PV array is presented, and then the output dynamic characteristics are analyzed. …”
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Modeling shrimp biomass and viral infection for production of biological countermeasures by H. Thomas Banks, V. A. Bokil, Shuhua Hu, A. K. Dhar, R. A. Bullis, C. L. Browdy, F.C.T. Allnutt

“…In this paper we develop a mathematical model for the rapid productionof large quantities of therapeutic and preventive countermeasures. …”
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Study on the Design and Tactile Percention of New Fully Actuated Bionic Hand by Xuewen Ping

“…By adopting the single current and multi-angle sensor used in combination，not only accurate control of finger joint angle is realized，at the same time，through the study of the data acquisition of angle sensor and drive current and matching processing，the current amplitude change and the joint force，current change rate and the mathematical model of hardness are established，which enrich the bionic hand tactile perception ability. …”
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Influence of the Correction of Cycloid Tooth Bevel Gear Cutter Head Radius on the Tooth Surface Contact Performance by Han Zhengyang, Deng Xiaozhong, Nie Shaowu, Geng Longlong

“…Aiming at the selection of parameter of the cycloid bevel gear cutter,the influence of radial correction of cutter on the tooth surface contact is studied. The mathematical model of cycloid bevel gears is established based on the cutter head and the formation principles of production gears. …”
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Exploring Immune Responses through Dynamic Modeling of Cell-Immune Interactions in Viral Infection and Vaccination by Kwang Su Kim, Il Hyo Jung, Jong Hyuk Byun

“…This study underscores the critical role of mathematical modeling in understanding immune dynamics and in refining vaccination strategies to develop more effective treatments against viral infections.…”
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Resonance Effect Decrease and Accuracy Increase of Piezoelectric Accelerometer Measurement by Appropriate Choice of Frequency Range by Zine Ghemari, Saad Salah, Rabah Bourenane

“…A suitable piezoelectric accelerometer mathematical model is proposed to extract a relationship of motion relative frequency as a function of natural frequency. …”
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Research of the Characteristic of Hydro- viscous Clutch with Different Friction Materials by Ma Ligang, Xiang Changle, Du Minggang, Guo Liuyang

“…The friction plate gap as a key parameter which affects the towing torque is got by analyzing friction state of the hydro- viscous clutch and building mathematical model of the towing torque which combines with the specific parameter of the hydro- viscous clutch. …”
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Design and Simulation of Reset Mechanism of Self-centering Center Rest for Grinding Machine by Yongqiang Zhao, Ruichao Li, Hongling Hou, Changqian Wang, Fei Wang, Haixia Du

“…The correctness of the mathematical model of the reset plate and the feasibility of the design method are verified by using the collaborative virtual simulation functions of MATLAB, UG and Adams software.…”
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Research of the CNC Side Milling Method for ZC3 Worm Gear by Hu Yangjing, Huang Xiaotiao, Fang Chenggang, Zhang Hu

“…In order to improve the precision of CNC machining ZC3 worm gear,a side milling method for machining worm gear is proposed. Firstly,the mathematical model for milling ZC3 worm gear is established based on the principle of gear meshing. …”
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Market-based pricing for road freight transportation by A. A. Aksentev

“…Statistically significant factors have been highlighted, and mathematical models have been constructed. The influence of fictitious variables (body type) that improve the quality of the calculated values has been noted. …”
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